GCD of 734, 450, 664, 804 Calculator

Given Input numbers are 734, 450, 664, 804

In the factoring method, we have to find the divisors of all numbers

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

GCD of numbers is the greatest common divisor

So, the GCD (734, 450, 664, 804) = 2.

Given numbers are 734, 450, 664, 804

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 804 are 2 x 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 734, 450, 664, 804 is 2.

Given numbers are 734, 450, 664, 804

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(734, 450) = 165150

GCD(734, 450) = ( 734 x 450 ) / 165150

= 734 / 450

= 734

Step2:

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

= 2 / 664

= 2

Step3:

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

= 2 / 804

= 2

So, Greatest Common Divisor of 734, 450, 664, 804 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 927, 784, 789, 382
• GCD of 204, 527, 118, 520
• GCD of 799, 833, 751, 290
• GCD of 367, 304, 197, 436
• GCD of 417, 931, 699, 517

Given numbers are 734, 450, 664, 804
The greatest common divisor of numbers 734, 450, 664, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 450, 664, 804 is 2.

1. What is the GCD of 734, 450, 664, 804?

GCD of given numbers 734, 450, 664, 804 is 2

2. How to calculate the greatest common divisor of 734, 450, 664, 804?

We can find the highest common divisor of 734, 450, 664, 804 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 734, 450, 664, 804 i.e 2.

3. How can I use the GCD of 734, 450, 664, 804Calculator?

Out the numbers 734, 450, 664, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.